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The AAPG/Datapages Combined Publications Database
AAPG Bulletin
Abstract
AAPG Bulletin, V.
Structural Features of Northern Tarim Basin: Implications for Regional Tectonics and Petroleum Traps: Discussion1
Mark B. Allen and Stephen J. Vincent2
1Manuscript received March 2, 1998;
revised manuscript received June 29, 1998; final acceptance March 16, 1999.
2China Basins Project, Cambridge Arctic
Shelf Programme, Department of Earth Sciences, University of Cambridge,
Downing Street, Cambridge, CB2 3EQ, United Kingdom; e-mail: [email protected]
INTRODUCTION
Most of their (Dong Jia et al., 1998) paper is
an area-by-area review, and we comment on these areas in their original
order.
AHEQI STRIKE-SLIP FAULT SYSTEM
There is no published evidence that the Aheqi
fault zone continues westward across the Pamirs and into the Hindu Kush,
as depicted in Dong Jia et al.'s (1998) figure 1. Instead, the Aheqi fault
zone is truncated by the dextral Talas-Fergana fault (e.g., Burtman et
al., 1996). Contrary to the distribution of the schematic faults depicted
on Dong Jia et al.'s (1998) figure 1, the southern Tian Shan contains many
active thrusts that have created a mountain range with summits greater
than 7000 m. At the eastern end of the Aheqi fault zone, Dong Jia et al.
(1998) depicted northeast-directed thrusts in the Kuluketage and Central
Tian Shan. We find no trace of these faults on published maps, where northwest-southeast-
and west-northwest south-southeast- trending faults are strike-slip faults
(commonly dextral) or southwest-directed thrusts (Xinjiang Weiwuer Zizhiqu
Dizhiju, 1977; Tapponnier and Molnar, 1979); furthermore, it has never
been thoroughly demonstrated from seismic data, field-observed structures,
or satellite image analysis that the Aheqi fault zone is indeed a Cenozoic
sinistral structure. Dong Jia et al. (1998) seem to follow others in inferring
this from the regional tectonics, especially the subparallel nature of
Aheqi and Altun (Altyn Tagh) faults. We agree that sinistral motion is
a likely scenario, but think that it needs better demonstration.
We do not find any evidence for distributed sinistral
motion south of the Aheqi fault zone. We discuss the Kalpin (Kepingtage)
uplift in a following section, but note here that there is no field or
seismic evidence for major extensional deformation around Baicheng, which
should be present if Dong
End page 1279----------------
Figure
1--Geologic map of the central part of the Kalpin uplift. Structure is
derived from Landsat imagery and our field-work observations. Stratigraphy
from unpublished Chinese 1:200,000 scale geological maps. Dashed box shows
area of Figure 2.
End page 1280----------------
Jia et al.'s (1998) interpretation of a pull-apart
basin is correct. Published sections across the Baicheng depression (Tang
Liangjie, 1996) show only compressional structures, consistent with the
region being a piggyback basin between the South Tian Shan fault and thrusts
at the southern margin of the Kuche depression; furthermore, we do not
consider that the Aheqi fault zone has the correct geometry to produce
the releasing- and restraining-bend elements essential for the model of
Dong Jia et al. (1998).
Flexure of alluvial fans by a putative Tarim River
fault is a surprising proposal. Our Landsat imagery of the area shows that
true alluvial fans are all located considerably north of the river. Some
of the fans are asymmetric, but this is due to their position on the northern
side of axial northwest-southeast drainage systems, not tectonic dislocation.
KALPIN UPLIFT
Dong Jia et al. (1998) stated that the obvious
southward vergence of structure in the Kalpin uplift is overprinted by
strike-slip. This is completely at odds with the historical seismic of
the region, which clearly shows thrusting toward the basin interior with
only a minor component of oblique slip (Tapponnier and Molnar, 1979; Chen
Wang ping and Molnar, 1983; Fan et al., 1994). Our own Landsat studies
and field observations within the Kalpin uplift (Figure 1) also do not
support major strike-slip motion parallel to the trend of the imbricates.
We observed minor faults, slickensides, and parasitic folds all consistent
with dip-slip transport. Additionally, we doubt that it is physically possible
to transport a block of sedimentary rocks approximately 5 km thick, 30
km wide, and 100 km long laterally over an equivalent section for 80 km
without major deformation of the overthrust block, yet this is required
by the restoration of Dong Jia et al. (1998).
The Piqiang fault does not die out within the
Kalpin uplift, as depicted on Dong Jia et al.'s (1998) figures 2 and 3,
but clearly cuts the frontal Kepingtage fault (also known as the Shajingzi
fault). Our field-work observations indicate that the Piqiang fault is
a subvertical sinistral structure that separates the Kalpin uplift into
two parts (Figures 1 and 2) and is seismically active. We suggest it has
formed coevally with the major thrusts and helps accommodate a minor difference
in slip vector of the crustal blocks to either side. The lateral continuity
of the fault is obvious, making it an incredible coincidence that it could
have originated as two separate structures within separate fault blocks
that became superimposed after tens of kilometers of overthrusting and
strike-slip motion, yet this is demanded by the restorations shown in Dong
Jia et al.'s (1998) figure 3.
KUQA DEPRESSION
The (unlocated) field sketch used to support the
argument of sinistral motion in the Kuqa depression [Dong Jia et al.'s
(1998) figure 7] departs from a normal pattern of R, X, and P shears, which
might accompany a sinistral fault (Woodcock and Schubert, 1994). Because
the fractures interpreted as R and X shears are not shown as offsetting
any features (including each other), they resemble conjugate shear joints.
Some previous interpretations of the Kuqa depression have included backthrusts,
i.e., thrusts that dip southward toward the interior of the Tarim basin
(e.g., Zhang Ximing et al., 1997). These are not present in the interpretation
of Dong Jia et al. (1998). This difference is hard for an independent observer
to resolve without access to reasonable quality seismic data, rather than
the interpretations that are normally published.
NORTH TARIM UPLIFT
We agree with Dong Jia et al. (1998) that the
North Tarim uplift shows evidence for pre-Cenozoic transpression, but we
are less sure about the inferred kinematics. Proposed late Paleozoic sinistral
shear might be contemporary with the regional Late Permian sinistral motions
suggested by Sengör et al. (1993), and regarded by Allen et al. (1995)
as responsible for the formation of the Junggar, Turfan, and Alakol basins
in a transtensional setting. If this is correct, it remains to be explained
why there was transtension north of the Tian Shan at the same time as transpression
to its south. Evidence for middle Permian compressional deformation in
northern Tarim was provided by Wang Xiepei and Yan Junjun (1995), who demonstrated
an angular unconformity between Lower Permian and Upper Permian strata
on the Ketuer fault. Whatever the exact timing of this Paleozoic motion,
it is simplistic to refer to a Junggar or Kazakhstan plate, now that it
is clear that there are two late Paleozoic orogenies preserved within the
Tian Shan, and the region to its north is a complex collage of largely
juvenile Paleozoic crust (Sengör et al., 1993).
Dong Jia et al. (1998) used Woodcock and Fischer's
(1986) concept of trailing imbricate fans to suggest phases of sinistral
and dextral motion. The faults shown as forming the "fans" are in the east
and west of the North Tarim uplift, depicted as Paleozoic and Triassic
in age, respectively. The problem with this interpretation is that there
are
End page 1281----------------
published sections that show Mesozoic motion on
flower structures in the eastern region and Paleozoic motion in the west.
For example, Wei Guoqi et al. (1995) showed an apparent flower structure
at the western end of the North Tarim uplift being truncated by the basal
Mesozoic unconformity, whereas at its eastern end the Luntai fault and
the Akekumu and Akekule structures have been active into the Jurassic (e.g.,
Sun Baoshan, 1991). There is no general agreement on the kinematics of
these structures, and other workers have depicted general sinistral deformation
along the northern part of Tarim (e.g., Wei Guoqi et al., 1995). Published
work to date has never presented a strong case for the sense of motion
one way or another; we can only be sure that the structures revealed on
isolated two-dimensional sections are strongly reminiscent of the flower
structures seen in better documented areas of transpression. It is feasible
that both sinistral and dextral deformation could occur at the same time
on reactivations of preexisting faults with appropriate orientations. This
is occurring at present in the Tian Shan, where several major northwest-
or west-northwest-trending faults are dextral, whereas east-southeast-trending
faults are sinistral. Both fault sets are apparently reactivations of Paleozoic
structures, deforming at present in response to the north-south compression
produced by the India-Asia collision.
In summary, there is no evidence for major orogen-
parallel sinistral strike-slip motion in the Kalpin uplift and Kuqa depression.
Seismic and field data support major southward-directed thrusting, instead.
Paleozoic and Mesozoic transpressional deformation within northern Tarim
is obvious from seismic evidence, but the exact timing, kinematics, and
regional causes remain to be clarified. The active tectonics of the region
are a useful guide to its previous behavior. Preexisting structures of
suitable orientation can be reactivated with a dextral
Figure
2--Landsat MSS (multispectral scanner) image of the western part of the
Kalpin uplift showing the major thrusts and crosscutting Piqiang fault
(AA'). Image shown is approximately 185 x 185 km in area. Location shown
on Figure 1.
End page 1282----------------
or sinistral sense as appropriate, under the action
of a north-south compressive stress generated by a distant collision.
REFERENCES CITED
Allen, M. B., A. M. C. Sengör, and B. A.
Natal'in, 1995, Junggar, Turfan, and Alakol basins as Late Permian sinistral
pull-apart structures in the Altaid orogenic collage, central Asia: Journal
of the Geological Society, v. 152, p. 327-338.
Burtman, V. S., S. F. Skobelev, and P. Molnar,
1996, Late Cenozoic slip on the Talas-Ferghana fault, the Tien Shan, central
Asia: Geological Society of America Bulletin, v. 108, p. 1004-1021.
Chen Wangping, and P. Molnar, 1983, Focal depths
of intracontinental and intraplate earthquakes and their implications for
the thermal and mechanical properties of the lithopshere: Journal of Geophysical
Research, v. 88, p. 4183-4214.
Dong Jia, Lu Huafu, Cai Dongsheng, Wu Shimin,
Shi Yangshen, and Chen Chuming, 1998, Structural features of the northern
Tarim basin: implications for regional tectonics and petroleum traps: AAPG
Bulletin, v. 82, p. 147-159.
Fan, G., J. F. Ni, and T. C. Wallace, 1994, Active
tectonics of the Pamirs and Karakoram: Journal of Geophysical Research,
v. 99, p. 7131-7160.
Sengör, A. M. C., B. A. Natal'in, and V.
S. Burtman, 1993, Evolution of the Altaid tectonic collage and Palaeozoic
crustal growth in Eurasia: Nature, v. 364, p. 229-307.
Sun Baoshan, 1991, Relations between tectonic
stress fields and oil-gas migration and accumulation in north Tarim basin,
in Jia Runxu, ed., Research of petroleum geology of northern Tarim basin
in China: structural and petroleum geology: Beijing, China University of
Geoscience Press, p. 57-66.
Tang Liangjie, 1996, Tectonic evolution and structural
styles of Tarim basin: Beijing, Geological Publishing House, 136 p.
Tang Liangjie, Huang Taizhu, and Wang Shimin,
1991, Features of fault structures and their controlling effect on the
occurrence of hydrocarbons in northeastern Tarim basin, in Jia Runxu, ed.,
Research of petroleum geology of northern Tarim basin in China: structural
and petroleum geology: Beijing, China University of Geoscience Press, p.
39-48.
Tapponnier, P., and P. Molnar, 1979, Active faulting
and Cenozoic tectonics of the Tien Shan, Mongolia, and Baykal regions:
Journal of Geophysical Research, v. 84, p. 3425-3459.
Wang Xiepei and Yan Junjun, 1995, Structural framework
of major faults in northern Tarim basin, Xinjiang: Earth Science, v. 20,
p. 237-242.
Wei Guoqi, Jia Chengzao, and Yao Huijun, 1995,
The relation of thrust-strike slip structure and hydrocarbon potential
in late Hercynian in north area of Tarim basin: Xinjiang Petroleum Geology,
v. 16, p. 96-101.
Woodcock, N. H., and M. Fischer, 1986, Strike-slip
duplexes: Journal of Structural Geology, v. 8, p. 725-735.
Woodcock, N. H. and C. Schubert, 1994, Continental
strike-slip tectonics, in P. L. Hancock, ed., Continental deformation:
Oxford, Pergamon Press, p. 251-263.
Xinjiang Weiwuer Zizhiqu Dizhiju, 1977, Geological
map of the People's Republic of China: Wulumuqi K-45-B, scale 1:500,000,
1 sheet.
Zhang Ximing, Liu Qingfang, Wang Guiquan, and
Ye Desheng, 1997, Formation, distribution and prospecting potential of
Mesozoic-Cenozoic reservoirs in northern Tarim basin: Xinjiang Petroleum
Geology, v. 18, p. 302-306.
End page 1283----------------
AAPG Bulletin, V. 83, No. 8 (August 1999), P.
1284-1286.
Structural Features of Northern
Tarim Basin: Implications for Regional Tectonics and Petroleum Traps: Reply1
Dong Jia,2 Huafu Lu,2
Chengzao Jia,3 and Guoqi Wei2
©Copyright 1999. The American Association
of Petroleum Geologists. All rights reserved.
INTRODUCTION
We appreciate Allen and Vincent's (1999) interest
in our work. Here, we address their questions in four aspects: (1) Aheqi
strike-slip fault zone, (2) Kalpin uplift, (3) Kuqa depression, and (4)
North Tarim uplift.
It is an open question whether the Aheqi fault
zone extends westward across the northern margin of the Pamir, trending
into the Farah fault in central Afghanistan and Chaman fault in Pakistan,
or through the Hindu Kush; however, the Cenozoic Aheqi fault zone is not
truncated by the dextral Talas-Fergana fault in the northwestern margin
of the Tarim basin (Xijiang Bureau of Geology and Mineral Resources, 1993).
Based on satellite imagery, Wang et al. (1992) found that some Cenozoic
folds are arranged en echelon, indicating a sinistral transpressional motion
of the Aheqi fault. Nishidai and Berry (1990) also identified the sinistral
strike-slip of Aheqi fault in their tectonic map of the Tarim basin.
A major fault zone between the Central Tianshan
(sometimes spelled Tian Shan) and the South Tianshan is the Nikolaeev line.
This line extends into central Asia, along the northern margin of Narun
basin. It is cut by the right-lateral Talas-Fergana fault, then runs along
the Alai Mountains and the Turkistan Mountains of Tadzikstan, terminates
at the northern slope of Haratau in Uzbikstan (Milannoskee, 1989). The
cutting of the Talas-Fergana fault and the indentation of the Pamir block
obscure the westward extension of the Aheqi fault zone.
Although the Nikolaeev line is cut by the Talas-Fergana
dextral fault north of Kashi, the Talas-Fergana fault does not terminate
the Aheqi fault. The Carboniferous limestone of south Tianshan thrusted
southward over the Mesozoic and Tertiary strata of the Tarim basin, showing
the westward continuation tracing of the Aheqi fault; furthermore, we infer
that the westward trending of the Aheqi fault runs along the northwestern
boundary fault of the Pamir and into the Fanna fault and Chaman fault,
based on the kinematic possibility of the northeast-trending sinistral
strike-slip resulting from the collision between India and Asia (Lu Huafu
et al., 1994). Another possible westward-trending branch of the Aheqi fault
runs through the northern tip of the Pamir arc to the north boundary fault
of the Tadjik-Karakum block.
The Aheqi fault is the northwestern boundary of
the Tarim basin. To its north is the southwestern Tianshan Paleozoic orogenic
belt. The Aheqi fault system includes the Aheqi fault and many other faults
with similar and related kinematic features, such as the east-west- and
east-northeast-trending Kalpin fault and Shajingzhi fault in the Kalpintag
mountains (Dong Jia et al., 1998); therefore, the structures in Kalpintag
as second-order faults might indicate the sinistral strike-slip motion
of the Aheqi fault zone.
At the eastern end of the Aheqi fault zone, the
Aheqi fault connects with the faults in Kuluketag. Some faults in Kuluketag,
such as the Xindi fault, are northeast-directed thrusts, so that some pre-Sinian
rocks override northeastward on the Quaternary sediments of the Bosten
Lake basin (Guo et al., 1992). This feature is not marked on the Xinjiang
regional geological map (Xijiang
End page 1284----------------
Bureau of Geology and Mineral Resources, 1993).
As Allen and Vincent (1999) pointed out, some of the south-southwest-directed
thrusts exist. Both the north-northeast- and south-southwest-directed thrusts
are consistent with the sinistral movement of the Aheqi fault system as
a transpressional tectonic element. The northward-thinning Cenozoic sediments
on the Kongqi He Slope, south of the Kuluketag, imply the north-northeast-directed
overthrusting in the Kuluketag (Jia et al., 1997). Because the north-northeast-directed
thrusts are the dominant structures here, we ignored the south-southwest-directed
thrusts in our map (Dong Jia et al., 1998).
KALPIN UPLIFT
The thrust sheets in Kalpin can be six rows, but
sometimes only two or three rows appear. The thrust sheets are not simply
parallel to each other; instead, they zigzag to form a very peculiar pattern
in map view. Transverse faults or lateral ramps cannot explain the strong
curvatures and the general geometry of these zigzagging structures. If
these were interpreted as the features of strike-slip deformation, the
structural pattern would be in two rows of simple parallel thrust sheets
(Huafu Lu et al., 1997a; Dong Jia et al., 1998). A restorable structure
would be a reasonable structure; therefore, the structural pattern in Kalpintag
could be interpreted as the result of strike-slip deformation.
West of Aksu, the southernmost fault of eastern
segment in the Kalpin Mountains is called the Shajingzi fault. Some second-order
structures were identified (Jia et al., 1997; Lu Huafu et al., 1998). The
Ordovician and Silurian strata were deformed into a series of small-scale
north-northeast-striking folds, indicating left-lateral strike-slip of
the Shajingzi fault. The northwest-trending right lateral strike-slip faults
in Xiao'erblack, west of Aksu, are the R' shear planes of the Shajingzi
fault (Jia et al., 1997; Lu Huafu et al., 1998). In addition, we observed
some minor faults and slickenside with sinistral slip between the north-northwest-trending
Bachu uplift and the east-west-trending Kalpin uplift at Sanchakou, north
of Bachu County.
KUQA DEPRESSION
The fractures in the Kuqa depression were interpreted
as R and X shears by Dong Jia et al. (1998, their figures 7 and 8). We
describe them in more detail in this paper.
Near Kuruli in the northern Kuqa depression, small
second-order fractures appeared between the upper Triassic Huangshanjie
formation (T3h) and the middle Triassic Kelamayi formation (T2k)
(Dong Jia et al., 1998, their figure 7). Their angular relation to the
main shear plane suggests that the second-order shear planes belong to
P, R, and X shear planes. These fractures offset each other; they are too
small to be shown in our figure (Dong Jia et al., 1998, their figure 7).
The P shear dips to 195° at an angle of 37°, and the R shear plane
dips to 145° at an angle of 44°. These shears display a sense of
sinistral slip. The X shear dips to 50° at an angle of 87°. This
shear appears to display a sense of dextral slip. The mechanism analysis
of brittle fractures (Woodcock and Schubert, 1994) reveals that the R and
P shears have the same shearing sense with respect to the main shear plane,
but the X plane takes the opposite shearing sense. Thus, we concluded that
the main shear plane (dips to 179° at an angle of 39°) shows left-lateral
strike-slip. This main shear plane is called a Kuruli fault.
The southward Kuqa River suddenly turns east-west
at Kutaikelik, about 50 km north of Kuqa; this change is caused by faulting
there. The nearly vertical Kutaikelik fault extends between the upper Jurassic
(J3) and the upper Cretaceous (K2) to Tertiary strata
(E1-2) (Dong Jia et al., 1998, their Figure 8). The calcareous
conglomerate of Kumugelim formation (E1-2) is cut by several
second-order left-lateral faults. The slickensides on the fault plane have
also proven this feature of sinistral strike-slip. The Kutaikelik fault
is extended to the west where it connects with the Heiyingshan fault and
to the east where it links with the Yiqikelik fault (Jia Dong et al., 1996).
There is some evidence of orogen-parallel sinistral
strike-slip beside the R, P, and X shearing planes in the Kuqa depression
(Jia Dong et al., 1996). To the south, the Yaha, Tiergen, Qimen, and Hongqi
structural zones are composed of a series of right-step en echelon normal
faults. Quite a few new gas fields have been found in the structures of
these zones (Jia et al., 1997).
Near the core of South Qiulitag anticline, an
orogen-parallel sinistral strike-slip fault cuts off the anticline and
leaves only its southern limb shown in the new seismic profiles [unpublished
data of Tarim Petroleum Exploration and Development Bureau (CNPC)]. The
strike of the fault is N50°E. The fault shows up clearly in satellite
imagery.
Analyses of many seismic profiles demonstrated
that most faults thrust southward, but some backthrusts can be found both
in surface structures and seismic profiles (Jia Dong et al., 1997). There
is an important south-dipping backthrust along the Paleocene evaporite
in the subsurface Kelasu anticline beneath the western segment of the Yiqikelik-Kumukelim
subbelt, which formed a
End page 1285----------------
triangle zone with the southward-thrusting duplex
(Lu Huafu et al., in press).
NORTH TARIM UPLIFT
The trailing imbricate fans in the North Tarim
uplift are complicated (Chen Chuming et al., 1998). We (Dong Jia et al.,
1998) depicted the interference of the late Paleozoic northwest-trending
anticlines and Mesozoic northeast-trending faults in the Yinmaili and Donghetang
oil fields (Dong Jia et al., 1998). The northwest-trending folds are superimposed
and cut by the northeast-trending thrusts in the western part of the uplift;
therefore, it is not contradictory to Wei Guoqi et al.'s (1995) description
of a flower structure being truncated by the basal Mesozoic (Jurassic)
unconformity. Based on the growth strata (Huafu Lu et al., 1997b), we also
found that northwest-trending anticlines were formed during the Triassic,
indicating that the sinistral motion occurred again in the Mesozoic (Huafu
Lu et al., 1997b). We believe that the sinistral motion occurred in the
late Paleozoic and early Mesozoic, and the dextral motion in the Mesozoic.
DISCUSSION
A northeast-east strike-slip fault is found in
the northwestern margin of the Tarim basin. It is nearly parallel to the
southern Tianshan orogenic belt. For a long time, models of mountain building
have assumed crustal shortening in the direction perpendicular to the strike
of mountain belt, and the relationship of orogens and basins also was interpreted
based on this concept (Dewey and Burke, 1973). In recent years, it has
been realized that large-scale strike-slip faulting parallel to or nearly
parallel to the strike of mountain belts controlled the map view of mountain
belts and their evolution, as well as the small-scale oroclinal tectonics
within the mountain belt (Sengor, 1992). Because of the collision of the
Indian subcontinent with the Eurasian plate, and especially because of
the intrusion of the Pamir plateau, intensive compression and deformation
with large-scale strike-slip displacement characterize central Asia. Such
displacement may have led to crustal extrusion along strike-slip faults,
and the Aheqi transpressional fault zone is one of these kinds.
Dong Jia et al. (1998) proposed that the Tarim
basin forms a giant sinistral push-up structure with strike-slip faults
bounding its south and north margins (the Altun and Aheqi fault zones,
respectively) and linked thrust systems at the western and eastern terminations
of these systems (the western Kunlun and Kuluketage) (Dong Jia et al.,
1998, their figure 1). They go on to describe structures from northern
Tarim that usually are discussed only in Chinese petroleum industry publications
on the basin (e.g., Tang Liangjie et al., 1991), and interpret these structures
to have formed due to strike-slip deformation related to activity on the
Aheqi fault zone (some workers refer to this fault zone as the South Tian
Shan fault) (Tang Liangjie et al., 1991). There is no dispute that a major
Cenozoic fault system lies at the northern margin of the Tarim basin; however,
there are several aspects of Dong Jia et al.'s (1998) presentation and
interpretation of this structure that are debatable. In particular, we
question the extent to which Cenozoic strike-slip deformation operates
to the south of and parallel to the Aheqi fault zone.
1Manuscript received November 16,
1998; revised manuscript received December 15, 1998; final acceptance March
16, 1999.
2Department of Earth Sciences, The
Oil-Gas Research Center, Nanjing University, Nanjing 210093, People's Republic
of China; e-mail: [email protected]
3Tarim Petroleum Exploration and Development
Bureau (CNPC), Kurla 841000, People's Republic of China.
This paper is part of the project of Meso-Cenozoic
Geodynamic Coupling Between the Tarim Basin and the Tianshan, supported
by National Science Foundation of China (approval number 49832040). We
thank Guo Lingzhi, Shi Yangshen, Qian Xiangling, and Wang Liangshu for
their valuable suggestion and discussion. We also thank Mian Liu and Yang
Xiangning for improving this manuscript.
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Editor's Note: The authors, Dong Jia, Huafu
Lu, Chengzao Jia, and Guoqi Wei, are also listed as Jia Dong, Lu Huafu,
Jia Chengzao, and Wei Guoqi.
End page 1286----------------
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